Question

25^x = 5^4x+1
what is the value of x? pls help me :(

Answer 1

x = -0.5

Explanation:

`factors \: of \: 25 \\ 25 = 5 {}^(2) \\ 5 {}^((2)x) = 5 {}^(4x + 1) \\ since \: bases \: are \: equal \: \\ hence \: exponents \: are \: equal \\ 2x = 4x + 1 \\ collect \: like \: term \\ 2x - 4x = 1 \\ - 2x = 1 \\ divide \: by \: - 2 \: both \: sides \\ x = - 0.5`